284160120 has 64 divisors (see below), whose sum is σ = 870635520. Its totient is φ = 74162304.

The previous prime is 284160119. The next prime is 284160127. The reversal of 284160120 is 21061482.

284160120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284160127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19552 + ... + 30831.

It is an arithmetic number, because the mean of its divisors is an integer number (13603680).

Almost surely, 2^284160120 is an apocalyptic number.

284160120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284160120 is an abundant number, since it is smaller than the sum of its proper divisors (586475400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284160120 is a wasteful number, since it uses less digits than its factorization.

284160120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50444 (or 50440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 284160120 is about 16857.0495639065. The cubic root of 284160120 is about 657.4373537348.

The spelling of 284160120 in words is "two hundred eighty-four million, one hundred sixty thousand, one hundred twenty".